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The current in a coil varies with time t as $\mathrm{I}$ $=$ $3{\mathrm{t}}^{2}+$ $2\mathrm{t}$. If the inductance of coil be 10 mH, the value of induced e.m.f. at \(t=2~\mathrm{s}\) will be:

1. \(0.14~\mathrm{V}\)

2. \(0.12~\mathrm{V}\)

3. \(0.11~\mathrm{V}\)

4. \(0.13~\mathrm{V}\)

Subtopic: Faraday's Law & Lenz Law |

88%

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A coil of a mean area of 500 $c{m}^{2}$ and 1000 turns is held perpendicular to a uniform field of 0.4 Gauss. The coil is turned through $180\xb0$ in $\frac{1}{10}$ seconds. The average induced e.m.f. is:

1. | 0.04 V | 2. | 0.4 V |

3. | 4 V | 4. | 0.004 V |

Subtopic: Faraday's Law & Lenz Law |

60%

From NCERT

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The network shown in figure is a part of a complete circuit. If at a certain instant, the current 'i' is 10 A and is increasing at the rate of $4\times {10}^{3}$ A/sec, then ${V}_{A}-{V}_{B}$ is:

1. | 6 V | 2. | -6 V |

3. | 10 V | 4. | -10 V |

Subtopic: LR circuit |

66%

From NCERT

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A coil having an area ${A}_{0}$ is placed in a magnetic field which changes from ${B}_{0}$ $to$ $4{B}_{0}$ in time interval t. The average EMF induced in the coil will be:

1. $\frac{3{A}_{0}{B}_{0}}{t}$

2. $\frac{4{A}_{0}{B}_{0}}{t}$

3. $\frac{3{B}_{0}}{{A}_{0}t}$

4. $\frac{4{B}_{0}}{{A}_{0}t}$

Subtopic: Faraday's Law & Lenz Law |

87%

From NCERT

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A rod AB of length l is moving with constant speed v in a uniform magnetic field on a conducting U-shaped wire as shown. If the rate of loss of heat energy across resistance R is Q, then the force needed parallel to velocity to keep rod moving with constant speed v is:

1. Qv

2. $\frac{\mathrm{Q}}{\mathrm{v}}$

3. $\frac{{\mathrm{Q}}^{2}}{\mathrm{v}}$

4. ${\mathrm{Q}}^{2}\mathrm{v}$

Subtopic: Motional emf |

64%

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A coil has 1,000 turns and 500 ${\mathrm{cm}}^{2}$ as its area. The plane of the coil is placed at right angles to a magnetic field of $2\times {10}^{-5}$ $Wb/{m}^{2}$. The coil is rotated through \(180^{0}\)$$ in 0.2 seconds. The average e.m.f. induced in the coil, in milli-volts, is:

1. | 5 | 2. | 10 |

3. | 15 | 4. | 20 |

Subtopic: Faraday's Law & Lenz Law |

59%

From NCERT

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An electric potential difference will be induced between the ends of the conductor shown in the diagram when the conductor moves in the direction of:

** **

1. *P *

2. *Q*

3. *L *

4. *M*

Subtopic: Motional emf |

70%

From NCERT

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In a circuit with a coil of resistance 2 *ohms*, the magnetic flux changes from 2.0 *Wb* to 10.0 *Wb* in 0.2 second. The charge that flows in the coil during this time is:

1. 5.0 *coulomb*

2. 4.0 *coulomb*

3. 1.0 *coulomb*

4. 0.8 *coulomb*

Subtopic: Faraday's Law & Lenz Law |

88%

From NCERT

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A long solenoid of diameter 0.1 m has 2$\times {10}^{4}$ turns per meter. At the centre of the solenoid, a coil of 100 turns and a radius of 0.01 m is placed with its axis coinciding with the solenoid's axis. The current in the solenoid reduces at a constant rate from 0 A to 4 A in 0.05 s. If the resistance of the coil is $10{\pi}^{2}\Omega $, the total charge flowing through the coil during this time is:

1. 32$\mathrm{\pi \; \mu C}$

2. 16 $\mu C$

3. 32 $\mu C$

4. 16$\mathrm{\pi \; \mu C}$

Subtopic: Mutual Inductance |

59%

From NCERT

NEET - 2017

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A conducting square frame of side 'a' and a long straight wire carrying current i are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity v. The emf induced in the frame will be proportional to:

1. 1/x^{2}

2. 1/(2x-a)^{2}

3. 1/(2x+a)^{2}

4. 1/(2x-a) x (2x+a)

Subtopic: Motional emf |

71%

From NCERT

NEET - 2015

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